Generalised Schmidt criterion

Lukas Rollier (Vrije Universiteit Brussels)

Thursday 12th November 15:00-16:00
Maths 311B

Abstract

A natural question to ask regarding quantum symmetry is which mathematical objects admit faithful actions of compact quantum groups. We then say that these objects have quantum symmetry. In this seminar, I will introduce the prerequisites needed to understand this question. Subsequently, I will recall Simon Schmidt's criterion, which is a sufficient condition for a finite graph to have quantum symmetry. We will then generalise this criterion to the setting of arbitrary C*-algebras. If time permits, using recent results of Christian Voigt, we will apply this to the circle, which admits quantum symmetry.

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